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An Application of Rabotnov Functions on Certain Subclasses of Bi-Univalent Functions

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In this study, a new class RΣμ(x,γ,α,δ,β) of bi-univalent functions studied by means of Gegenbauer polynomials (GP) with Rabotnov functions is introduced. The coefficient of the Taylor coefficients a2 and… Click to show full abstract

In this study, a new class RΣμ(x,γ,α,δ,β) of bi-univalent functions studied by means of Gegenbauer polynomials (GP) with Rabotnov functions is introduced. The coefficient of the Taylor coefficients a2 and a3 and Fekete-Szegö problems for functions belonging to RΣμ(x,γ,α,δ,β) have been derived as well. Furthermore, a variety of new results will appear by considering the parameters in the main results.

Keywords: subclasses univalent; univalent functions; application rabotnov; rabotnov functions; functions certain; certain subclasses

Journal Title: Axioms
Year Published: 2022

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